We're dividing 37112 by 6 
We're looking to find how many times 6 goes into 37112.

Advancing to step 1:
6 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 6

Advancing to step 2:
6 can be fit into 37 6 times, resulting in a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 36 from 37 to get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 6

Advancing to step 3:
If we divide 11 by 6, we get 1 and a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 61.0
Subtracting 6 from 11 leaves us with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 6

Let's proceed to step 4:
6 can be fit into 51 8 times, resulting in a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 618.0
Subtract 48 from 51 to get 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 6

Step 5:
The number 6 fits into 32 5 times, leaving a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 6185.0
If we subtract 30 from 32, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 6:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 6185.3
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 6185.33
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 6185.33 and a remainder of 0.002.